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Finding the Fourth Proportional to 813.24, 1,121.94 and 498.24

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Solution

The fourth proportional to 813.24, 1,121.94 and 498.24 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.24 : 1,121.94 = 498.24 : x
  2. Step 2: Convert to fraction form
    813.24/1,121.94 = 498.24/x
  3. Step 3: Cross multiply
    813.24x = 1,121.94 × 498.24
  4. Step 4: Simplify right side
    813.24x = 558,995.39
  5. Step 5: Solve for x
    x = 558,995.39/813.24
  6. Step 6: Final answer
    x = 687.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.